\subsection{有理函数积分}

	\begin{ti}
		求 $\int \frac{4x}{(2x + 1)^{3}} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int \frac{x^{3}}{(x - 1)^{100}} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int_{1}^{+\infty} \frac{\dd{x}}{x^{2} (x + 1)}$.
	\end{ti}

	\begin{ti}
		求 $\int \frac{\cos\theta}{\sin\theta - 2 \cos\theta} \dd{\theta}$.
	\end{ti}

	\begin{ti}
		求 $\int \frac{x^{4} + 1}{x \left( x^{2} + 1 \right)^{2}} \dd{x}$.
	\end{ti}

	\begin{ti}
		求 $\int \frac{1}{\ee^{2x} + 3\ee^{x} + 2} \dd{x}$.
	\end{ti}